Divide Using Synthetic Division (3x^3-16x^2-72)÷(x-6)

$(3 x^{3} - 16 x^{2} - 72) \div (x - 6)$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$6$	$3$	$- 16$	$0$	$- 72$
	\xa0			\xa0

Step 2

The first number in the dividend $(3)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(3)$ by the divisor $(6)$ and place the result of $(18)$ under the next term in the dividend $(- 16)$ .

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 5

Multiply the newest entry in the result $(2)$ by the divisor $(6)$ and place the result of $(12)$ under the next term in the dividend $(0)$ .

Step 6

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 7

Multiply the newest entry in the result $(12)$ by the divisor $(6)$ and place the result of $(72)$ under the next term in the dividend $(- 72)$ .

Step 8

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 9

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$3 x^{2} + 2 x + 12$